Pythagorean Theorem Word Problems Worksheets

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!

Use Pythagoras’ Theorem to solve the following word problems (give your answers to the nearest hundredths or to 2 decimal places):

1) Carl walked 4 m west and 5 m south. Calculate how far he is from his starting point?Distance = m

2) Martha’s house is 20 m long and 18 m wide. How long is the diagonal of the house?Diagonal = m

3) A ladder is standing on horizontal ground and rests against a vertical wall. The ladder is 5.5 m long and its foot is 3 m from the wall. Calculate how far up the wall the ladder will reach. Give your answer correct to 2 decimal places.Distance = m

4) Town A is 65 km due north of town B. Town C is 44 km due east of town B. Calculate the distance from town A to town C. Give your answer correct to 2 decimal places.Distance = km

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